Question 341: Thermodynamics & KTG

Question

A mixture of hydrogen and oxygen has volume 2000 cm3, temperature 300 K, pressure 100 kPa and mass 0.76 g. The ratio of number of moles of hydrogen to number of moles of oxygen in the mixture will be:
[Take gas constant R = 8.3 JK$$-$$1mol$$-$$1]

Accepted Answer

$${P_1}V = {n_1}RT$$
$${P_2}V = {n_2}RT$$
$$\Rightarrow$$ (100 kPa) V = (n
1
+ n
2
)RT
$$ \Rightarrow {n_1} + {n_2} = {{(100\,kPa)(2000\,c{m^3})} \over {8.3 	imes 300}}$$ ..... (1)
Also, n
1
$$	imes$$ 2 + n
2
$$	imes$$ 32 = 0.76 ...... (2)
Solving (1) and (2),
n
1
= 0.06
n
2
= 0.02
$$ \Rightarrow {{{n_1}} \over {{n_2}}} = 3$$

Answer

$${1 \over 3}$$

Answer

$${3 \over 1}$$

Answer

$${1 \over 16}$$

Answer

$${16 \over 1}$$

Thermodynamics & KTG

A mixture of hydrogen and oxygen has volume 2000 cm3, temperature 300 K, pressure 100 kPa and mass 0.76 g. The ratio of number of moles of hydrogen to number of moles of oxygen in the mixture will be: [Take gas constant R = 8.3 JK$-1mol-$1]

Choose the correct answer: